Probabilistic Model of Discrete Distribution of Layer Density in the Jig Bed

Abstract

Presented paper is the detailed description of probabilistic model of discrete distribution of layer density in the jig bed, developed on the basis of its assumptions presented in the paper (Głowiak 2019). This elaboration contains all formulas describing the relationships existing in this model. The details of the assumptions were also given, which clear presentation was more advantageous to combine with the details of the calculations. The model was used to calculate the density distribution of particles in individual layers. These calculations show that there are significant differences in these distributions compared to other known models. Also the overall picture of the enrichment process in the jig adopted on the basis of previous experimental research and theoretical considerations is significantly different from the picture resulting from the presented model. Observed differences also turn out to be important for the practice of coal enrichment, indicating clearly the choice of the direction of jigs modernization significantly different from the trends currently prevailing among the designers of these machines. The presented model shows also incorrectness of currently used calculations to predict separation results using separation curves mainly due to the free choice of separation density. The choice of separation density in the actual jig operaation process is significantly limited by the densities of the layers formed. The presented model shows that the mathematical approximation of the separation curves in the currenyly used calculation is not correct.